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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Nontriviality of the $M$-degree of the $A$-polynomial
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by Hans U. Boden PDF
Proc. Amer. Math. Soc. 142 (2014), 2173-2177 Request permission

Abstract:

This note gives a proof that the $A$-polynomial of any nontrivial knot in $S^3$ has nontrivial $M$-degree.
References
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Additional Information
  • Hans U. Boden
  • Affiliation: Department of Mathematics and Statistics, McMaster University, Hamilton, ON, L8S 4K1 Canada
  • MR Author ID: 312802
  • ORCID: 0000-0001-5516-8327
  • Email: boden@mcmaster.ca
  • Received by editor(s): March 22, 2012
  • Received by editor(s) in revised form: March 30, 2012, and July 6, 2012
  • Published electronically: March 4, 2014
  • Additional Notes: The author was supported by a grant from the Natural Sciences and Engineering Research Council of Canada.
  • Communicated by: Daniel Ruberman
  • © Copyright 2014 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 142 (2014), 2173-2177
  • MSC (2010): Primary 57M27; Secondary 57M25, 57M05
  • DOI: https://doi.org/10.1090/S0002-9939-2014-11936-8
  • MathSciNet review: 3182034